Nope. Not 'two ways of stating the same concept'. Physically and observationally indistinguishable is not 'no one point of reference is preferable over any other'. This is why you think there are observations that prove heliocentrism. There are none.
"But that's just GR musings. Sorry, but geocentrism violates the laws of physics. A more massive object does not orbit around a less massive object, look up conservation of momentum. The Earth would have to be by far the most massive object in the solar system, and it simply isn't. Plus I love the tortured explanations for the outer planets that would be going faster than light under the geocentric system."
Wrong again. These are not 'just GR musings'. As I have posted three times now, astronomers and physicists who are in a position to know say physically and observationally indistinguishable. The only place tortured explanations are required is in a mind that doesn't understand what it is talking about.
"And just because it's part of a theory doesn't mean it can actually happen. Archimedes rightly said he could move the Earth with a lever and a place to stand to describe general concepts, but that doesn't mean somebody's doing that, or that it's ever even going to happen in a practical sense. Sometimes cool theories run up against plain old reality."
Yeah, like geokineticism ran up against the plain old reality that it is physically and observationally indistinguishable from geocentrism. Oops.
Yes, they are. Simple English as I wrote before.
As I have posted three times now,
Yes, I know of your love for cut and paste. Now try actually thinking for yourself instead of copying scientists who were either 1) wrong, or 2) talking theoretically in a way that you are misusing.